Attaching topological spaces to a module (I): Sobriety and spatial frames of submodules

Mauricio Gabriel Medina Bárcenas, Lorena Morales Callejas, Martha Lizbeth Shaid Sandoval Miranda +1

In this paper we study some frames associated to an $R$-module $M$. We define semiprimitive submodules and we prove that they form an spatial frame canonically isomorphic to the to…